An ideal monatomic gas at an initial temperature of 500 K is expanded from 5.0 atm...

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An ideal monatomic gas at an initial temperature of 500 K isexpanded from 5.0 atm to a final pressure of 1.0 atm. Calculatew, q, DU, and (where applicable)DH and DT when the expansion is performed (a)reversibly and isothermally, and (b) reversibly andadiabatically.
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3.6 Ratings (464 Votes)

Given,

T=500 K

P₁=5atm

P₂=1 atm

a) For reversible isothermal process:

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â w= -RT ln (P₂/P₁)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =-8.314*500*ln(1/5)=6690.4 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â q=-w=-6690.4 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dU=0

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dH=dU-w=0+6690.4=-6690.4 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dT= 0 for isothermal process

b) For reversible adiabatic process:

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â w=-RT₁((P₂/P_1Â)^(n-1)/n -1)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =-8.314*500*((1/5)^0.67/1.67-1)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =-1973 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â q=0 for adiabatic process

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dU=-w=1973 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dH=0

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â dT= w/C_V

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =1973/20.8=94.8 K

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An ideal monatomic gas at an initial temperature of 500 K is expanded from 5.0 atm...

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90.2K

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Chemistry

An ideal monatomic gas at an initial temperature of 500 K isexpanded from 5.0 atm to a final pressure of 1.0 atm. Calculatew, q, DU, and (where applicable)DH and DT when the expansion is performed (a)reversibly and isothermally, and (b) reversibly andadiabatically.
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An ideal monatomic gas at an initial temperature of 500 K is expanded from 5.0 atm...

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90.2K

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Chemistry

An ideal monatomic gas at an initial temperature of 500 K isexpanded from 5.0 atm to a final pressure of 1.0 atm. Calculatew, q, DU, and (where applicable)DH and DT when the expansion is performed (a)reversibly and isothermally, and (b) reversibly andadiabatically.Help Please!!!

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An ideal monatomic gas at an initial temperature of 500 K isexpanded from 5.0 atm to a final pressure of 1.0 atm. Calculatew, q, DU, and (where applicable)DH and DT when the expansion is performed (a)reversibly and isothermally, and (b) reversibly andadiabatically.
Help Please!!!